Which of the following statements is false?
AThe product of two rational numbers is always irrational.
BThe sum of a rational number and an irrational number is always irrational.
CThe product of a nonzero rational number and an irrational number is always irrational.
DThe product of two irrational numbers is either rational or irrational.
AThe product of two rational numbers is always irrational.
BThe sum of a rational number and an irrational number is always irrational.
CThe product of a nonzero rational number and an irrational number is always irrational.
DThe product of two irrational numbers is either rational or irrational.